146289968
146,289,968 is an even composite number composed of five prime numbers multiplied together.
146289968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 146289968:
24 × 112 × 19 × 41 × 97
(2 × 2 × 2 × 2 × 11 × 11 × 19 × 41 × 97)See below for interesting mathematical facts about the number 146289968 from the Numbermatics database.
Names of 146289968
- Cardinal: 146289968 can be written as One hundred forty-six million, two hundred eighty-nine thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.46289968 × 108
Factors of 146289968
Divisors of 146289968
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 4 8 11 16 19 22 38 41 44 76 82 88 97 121 152 164 176 194 209 242 304 328 388 418 451 484 656 776 779 836 902 968 1067 1552 1558 1672 1804 1843 1936 2134 2299 3116 3344 3608 3686 3977 4268 4598 4961 6232 7216 7372 7954 8536 8569 9196 9922 11737 12464 14744 15908 17072 17138 18392 19844 20273 23474 29488 31816 34276 36784 39688 40546 43747 46948 63632 68552 75563 79376 81092 87494 93896 94259 137104 151126 162184 174988 187792 188518 223003 302252 324368 349976 377036 446006 481217 604504 699952 754072 831193 892012 962434 1209008 1508144 1662386 1784024 1924868 3324772 3568048 3849736 6649544 7699472 9143123 13299088 18286246 36572492 73144984 146289968
- Sum of all divisors σ(n): 339405360
- Sum of proper divisors (its aliquot sum) s(n): 193115392
- 146289968 is an abundant number, because the sum of its proper divisors (193115392) is greater than itself. Its abundance is 46825424
Bases of 146289968
- Binary: 10001011100000110101001100002
- Hexadecimal: 0x8B83530
- Base-36: 2F3I28
Squares and roots of 146289968
- 146289968 squared (1462899682) is 21400754737441024
- 146289968 cubed (1462899683) is 3130715725716095802847232
-
The
square root of 146289968 is 12095.0389829881 -
The
cube root of 146289968 is 526.9121119131
Scales and comparisons
How big is 146289968?- 146,289,968 seconds is equal to 4 years, 33 weeks, 6 days, 4 hours, 6 minutes, 8 seconds.
-
To count from 1 to 146,289,968 would take you about six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 146289968 cubic inches would be around 43.9 feet tall.
Recreational maths with 146289968
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